Atkin-Lehner |
2- 3+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63024l |
Isogeny class |
Conductor |
63024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
572544 |
Modular degree for the optimal curve |
Δ |
-8222087822966784 = -1 · 233 · 36 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 0 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22144,4550656] |
[a1,a2,a3,a4,a6] |
Generators |
[3370:195426:1] |
Generators of the group modulo torsion |
j |
-293191648004737/2007345659904 |
j-invariant |
L |
8.2814732580134 |
L(r)(E,1)/r! |
Ω |
0.35647779448573 |
Real period |
R |
5.8078465094239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7878g1 |
Quadratic twists by: -4 |